My current research interest is in the
numerical solution of spectral problems and ordinary differential equations,
more specifically, the computation of eigenvalues of differential operators
of Sturm-Liouville type and of more general forms. I introduced two new
techniques which are giving excellent results. The approaches introduced are
based on the concepts of iterated integrals and Fliess series on the one hand
and sampling theory on the other. Specifically I am considering,

Singular Sturm-Liouville problems

random Sturm-Liouville problems,

vector Sturm-Liouville problems,

non self-adjoint Sturm-Liouville problems

non Local Sturm-Liouville problems

fourth order Sturm-Liouville problems

two parameter Sturm-Liouville
problems

multi-parameter Sturm-Liouville
problems

I am also investigating

Differential Equations on Time Scales, a recently introduced theory
which bridges the gap between discrete and continuous analyses. In fact an
M. Sc thesis titled “Impulsive differential equations on time scales” has
been prepared (and defended) under my supervision.